966122612640 has 576 divisors, whose sum is σ = 3721211020800. Its totient is φ = 226799419392.

The previous prime is 966122612617. The next prime is 966122612641. The reversal of 966122612640 is 46216221669.

966122612640 is a `hidden beast` number, since 9 + 6 + 6 + 1 + 22 + 612 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (966122612641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36731334 + ... + 36757626.

It is an arithmetic number, because the mean of its divisors is an integer number (6460435800).

Almost surely, 2^966122612640 is an apocalyptic number.

966122612640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966122612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860605510400).

966122612640 is an abundant number, since it is smaller than the sum of its proper divisors (2755088408160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

966122612640 is a wasteful number, since it uses less digits than its factorization.

966122612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26429 (or 26418 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 966122612640 in words is "nine hundred sixty-six billion, one hundred twenty-two million, six hundred twelve thousand, six hundred forty".